Strongly λ-convergence of order α in Neutrosophic Normed Spaces
DOI:
https://doi.org/10.56405/dngcrj.2022.07.01.01Keywords:
Neutrosophic normed space, λ-convergence, λ-sequenceAbstract
In this paper, we introduce the concept of strongly λ-convergence of order alpha in the neutrosophic normed spaces. We investigate some fundamental properties of this new concept.
Downloads
References
Aral, N.D. (2022). ρ-statistical convergence defined by a modulus function of order (α,β). Maltepe Journal of Mathematics, 4 (1), 15-23.
Çakallı, H. (2019). A new approach to statistically quasi Cauchy sequences. Maltepe Journal of Mathematics, 1 (1), 1-8.
Bera, T., Mahapatra, N.K. (2017). On neutrosophic soft linear spaces. Fuzzy Informormation and Engineering, 9 (3), 299-324.
Bera, T., Mahapatra, N.K. (2018). Neutrosophic soft normed linear spaces. Neutrosophic Sets and Systems, 23, 52-71.
Kirişci, M., Şimşek, N. (2020a). Neutrosophic metric spaces. Mathematical Sciences, 14, 241-248.
Kirişci, M., Şimşek, N. (2020b). Neutrosophic normed spaces and statistical convergence. The Journal of Analysis, 28, 1059-1073.
Kişi, Ö. (2020). Lacunary statistical convergence of sequences in neutrosophic normed spaces. 4th International Conference on Mathematics: An Istanbul Meeting for World Mathematicians, Istanbul, 2020, 345-354.
Kişi, Ö. (2021a). On I_θ-convergence in neutrosophic normed spaces. Fundamental Journal of Mathematics and Applications, 4(2), 67-76.
Kişi, Ö. (2021b). Ideal convergence of sequences in neutrosophic normed spaces. Journal of Intelligent & Fuzzy Systems, 41 (2), 2581-2590.
Kişi, Ö., Gürdal, V. (2022a). Triple lacunary Δ-statistical convergence in neutrosophic normed spaces. Konuralp Journal of Mathematics, 10 (1), 127-133.
Kişi, Ö., Gürdal, V. (2022b). On triple difference sequences of real numbers in neutrosophic normed spaces. Communications in Advanced Mathematical Sciences, 5(1), 35–45.
Menger, K. (1942). Statistical metrics. Proceedings of the National Academy of Sciences, 28 (12), 535-537.
Mursaleen, M. (2000). λ-statistical convergence. Mathematica Slovaca, 50 (1), 111-115.
Smarandache, F. (2003). A unifying field in logics: Neutrosophic logic. Neutrosophy, Neutrosophic Set. Neutrosophic Probability and Statistics, Phoenix: Xiquan.
Smarandache, F. (2013). Introduction to neutrosophic measure, neutrosophic integral, and neutrosophic probability. Sitech-Education, Columbus, Craiova, 1-143.
Şengül, H., Koyun, Ö. (2019). On (λ,A)-statistical convergence of order α. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, 68(2), 2094-2103.
Şengül, H., Et, M. (2018). On (λ,I)-statistical convergence of order α of sequences of function. Proceedings of the National Academy of Sciences, India Section A: Physical Sciences, 88 (2), 181-186.
Tok, N., Başarır, M. (2019). On the λ_h^α- Statistical Convergence of the functions defined on the time scale. Proceedings of International Mathematical Sciences, 1 (1), 1-10.
Downloads
Published
How to Cite
Issue
Section
License
Dera Natung Government College Research Journal retains the copyright of the article and its contents. The authors are expected to obtain permission from the journal if they choose to reuse the article under Creative Commons Attribution 4.0 International License (CC BY 4.0). Upon having received the journal’s permission, this open license would allow the authors for reuse or adaptation as long as their original article is properly and adequately cited.
